The number 5349
5349 is a binary palindrome (1010011100101). Its prime factorisation is 3 × 1783. Divisors (4): 1, 3, 1783, 5349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5349: a binary palindrome (1010011100101); a semiprime: 3 × 1783, the product of two primes.
- 2
5349 is composite. Its prime factorisation is
- 3
The divisors add up to 7136; without 5349 itself that is 1787, so 5349 is deficient (1787 is less than 5349). Euler's totient φ(5349) = 3564 numbers up to 5349 share no factor with it.
- 4
The digits of 5349 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5349 = 3 \times 1783 \]
5349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7136 |
| Euler totient φ(n) | 3564 |
| Square | 28611801 |
| Cube | 153044523549 |
| Square root | 73.136858 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 5.349 × |
5349 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and forty-nine |
| Binary (base 2) | 1010011100101 |
| Octal (base 8) | 12345 |
| Hexadecimal (base 16) | 14E5 |
| Base 3 | 21100010 |
| As time | 5349 seconds = 1 h 29 min 9 s |
Is 5349 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5349 ÷ 3 = 1783) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5349 a prime number?
No. 5349 = 3 × 1783, so it is divisible by 3.
What are the factors of 5349?
1, 3, 1783, 5349.
What is 5349 in binary?
1010011100101 (hexadecimal 14E5, octal 12345).
What is the square root of 5349?
About 73.1369.
Is 5349 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5349?
5349 is a binary palindrome (1010011100101); a semiprime: 3 × 1783, the product of two primes.